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Finding the Fourth Proportional to 11,908.82, 16,430.82 and 9,383.10

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Solution

The fourth proportional to 11,908.82, 16,430.82 and 9,383.10 is: 12,946.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,908.82 : 16,430.82 = 9,383.10 : x
  2. Step 2: Convert to fraction form
    11,908.82/16,430.82 = 9,383.10/x
  3. Step 3: Cross multiply
    11,908.82x = 16,430.82 × 9,383.10
  4. Step 4: Simplify right side
    11,908.82x = 154,172,027.14
  5. Step 5: Solve for x
    x = 154,172,027.14/11,908.82
  6. Step 6: Final answer
    x = 12,946.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.